Question

If F(x) is the cumulative distributive function of a random variable x whose range is from $-\alpha$ to $+\alpha$, then $P(X<-\alpha )$

• A. $1$
• B. $\frac{1}{2}$
• C. $0$
• D. $\frac{1}{3}$

Answer 1

Answer: (C)

$0$

We have for a random variable $X$,
$F\left(x\right)=P(X\le x)=0$ for $x<0$ (since the random variable cannot assume negative values, so its probability is 0)
So, $P(X<-\alpha )=0$